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1020190344 = 233374392617
BaseRepresentation
bin111100110011101…
…101111010001000
32122002200001001120
4330303231322020
54042132042334
6245122115240
734165321605
oct7463557210
92562601046
101020190344
11483964118
122457abb20
13133489134
14996c56ac
155e86d949
hex3ccede88

1020190344 has 64 divisors (see below), whose sum is σ = 2626377600. Its totient is φ = 329992704.

The previous prime is 1020190309. The next prime is 1020190387. The reversal of 1020190344 is 4430910201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388524 + ... + 391140.

It is an arithmetic number, because the mean of its divisors is an integer number (41037150).

Almost surely, 21020190344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020190344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313188800).

1020190344 is an abundant number, since it is smaller than the sum of its proper divisors (1606187256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020190344 is a wasteful number, since it uses less digits than its factorization.

1020190344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1020190344 is about 31940.4186572437. The cubic root of 1020190344 is about 1006.6853215456.

The spelling of 1020190344 in words is "one billion, twenty million, one hundred ninety thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 439 444 878 888 1317 1756 2617 2634 3512 5234 5268 7851 10468 10536 15702 16243 20936 31404 32486 48729 62808 64972 96829 97458 129944 193658 194916 290487 387316 389832 580974 774632 1148863 1161948 2297726 2323896 3446589 4595452 6893178 9190904 13786356 27572712 42507931 85015862 127523793 170031724 255047586 340063448 510095172 1020190344